Least Common Multiple (LCM) of 113 and 79
The least common multiple (LCM) of 113 and 79 is 8927.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 113 and 79?
First, calculate the GCD of 113 and 79 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 113 ÷ 79 = 1 remainder 34 |
| 2 | 79 ÷ 34 = 2 remainder 11 |
| 3 | 34 ÷ 11 = 3 remainder 1 |
| 4 | 11 ÷ 1 = 11 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 91 and 146 | 13286 |
| 137 and 71 | 9727 |
| 32 and 192 | 192 |
| 199 and 64 | 12736 |
| 147 and 89 | 13083 |